Solve the Problem $5.0 \mathrm {~m}$ on Each Upward Bounce the Ball Returns To Height

Solve the problem.
-A ball is dropped from a height of $5.0 \mathrm {~m}$ . On each upward bounce the ball returns to $\frac { 2 } { 5 }$ of its previous height. Find the total vertical distance the ball travels before coming to rest.

A) $12.9 \mathrm {~m}$
B) $12.6 \mathrm {~m}$
C) $8.3 \mathrm {~m}$
D) $11.6 \mathrm {~m}$